New results on Caputo fractional-order neutral differential inclusions without compactness

Abstract

Abstract This article deals with existence results of Caputo fractional neutral inclusions without compactness in Banach space using weak topology. In fact, for weakly sequentially closed maps we apply fixed point theorems to obtain the existence of the solution. Furthermore, the results are manifested for fractional neutral system held by nonlocal conditions. To justify the application of the reported results an illustration is presented.

Keywords

• Existence
• Fractional differential inclusions
• Neutral equations
• Semigroup theory
• Multivalued map